Points on the Terminal Sides of Angles Play an Important $( 10,10 \sqrt { 3 } )$

Points on the terminal sides of angles play an important part in the design of arms for robots. Suppose a robot has a straight arm 20 inches long that can rotate about the origin in a coordinate plane. If the robot's hand is located at (20, 0) and then rotates through an angle of 60 ^o , what is the new location of the hand?

A) $( 10,10 \sqrt { 3 } )$
B) $\left( 10 , \frac { 10 } { \sqrt { 3 } } \right)$
C) $\left( \frac { 10 } { \sqrt { 3 } } , 10 \right)$
D) $( 20,20 \sqrt { 3 } )$
E) $( 10 \sqrt { 3 } , 10 )$